24798480 has 160 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 5462016.

The previous prime is 24798443. The next prime is 24798493. The reversal of 24798480 is 8489742.

It is a super-2 number, since 2×24798480² = 1229929220620800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48466 + ... + 48974.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^24798480 is an apocalyptic number.

24798480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

24798480 is an abundant number, since it is smaller than the sum of its proper divisors (66267120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24798480 is a wasteful number, since it uses less digits than its factorization.

24798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 24798480 is about 4979.8072251845. The cubic root of 24798480 is about 291.6139892167.

The spelling of 24798480 in words is "twenty-four million, seven hundred ninety-eight thousand, four hundred eighty".